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Asymptotic Error Expansion for Finite Difference Schemes for Elliptic Systems Near Turning Points

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Numerical Methods for Bifurcation Problems

Abstract

In this note we consider the convergence near turning points of a class of finite difference schemes for a one-parameter family of semilinear elliptic systems

(1)

where λ ∈ ℝ, Ω is a bounded region in ℝn with boundary Γ∈ C 2,α, O < α < 1, and f ∈ C1,O (ℝ× × ℝm,ℝm).

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Literatur

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© 1984 Springer Basel AG

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Munz, H. (1984). Asymptotic Error Expansion for Finite Difference Schemes for Elliptic Systems Near Turning Points. In: Küpper, T., Mittelmann, H.D., Weber, H. (eds) Numerical Methods for Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6256-1_24

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  • DOI: https://doi.org/10.1007/978-3-0348-6256-1_24

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6257-8

  • Online ISBN: 978-3-0348-6256-1

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